Various Forms Of The Equation Of A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_03_04 |
Topic Name : Various Forms Of The Equation Of A Line |
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Sub Topic Name : Slope-Intercept Form |
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Introduction
Sometimes a line is known to us with its slope and an intercept on one of the axes. We can find equation of such lines.
Pre-Requisites:
Idea about the coordinate plane, slope of a line, linear equation in two variables.
Real Life Question:
What is the equation of the line with slope 0.5 and whose x-intercept is 4?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Equation of the line on Slope-Intercept form | The equation of the line with slope m and y-intercept c is y=mx+c The equation of the line with slope m and x-intercept d is y=m(x-d) |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Graphs and Scale | Plot the line with slope 0.5 and whose x-intercept is 4. |
Real life uses :
Equations of lines are a compact form of defining a line if someone wants to convey over email or telephone. Equation of lines is employed to find the locus of the trajectory of a moving body.
Practical examples around us
| Examples | Explainations |
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What you learn in Theory:
What is the x and y intercept of a line and what is the equation of the line in slope-intercept form?
What you learn in Practice:
How to find the equation of a line in slope intercept form?